Abstract
Thin-walled shells are very often subject to the loss of stability; moreover, postcritical behaviour of shells is, as a rule, unstable, and hence the stability condition as an optimization constraint should be formulated very carefully. Experimental investigations on stability of tubes under external pressure were initiated in the fifties of the XIX-th Century (W.Fairbairn [8.49], and a rough theoretical background was given within the next years (F. Grashof [8.70], J.A. Bresse [5.10]), but a more general theory was derived at the beginning of the XX-th Century.
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Gajewski, A., Zyczkowski, M. (1988). Shells. In: Optimal Structural Design under Stability Constraints. Mechanics of Elastic Stability, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2754-4_8
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